5345010105435 has 288 divisors, whose sum is σ = 12692278609920. Its totient is φ = 2024463767040.

The previous prime is 5345010105427. The next prime is 5345010105443.

5345010105435 is a `hidden beast` number, since 5 + 3 + 4 + 5 + 0 + 101 + 0 + 543 + 5 = 666.

5345010105435 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (5345010105427) and next prime (5345010105443).

It is not a de Polignac number, because 5345010105435 - 2³ = 5345010105427 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5345010105435.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 39075832 + ... + 39212378.

It is an arithmetic number, because the mean of its divisors is an integer number (44070411840).

Almost surely, 2^{5345010105435} is an apocalyptic number.

5345010105435 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5345010105435 is an abundant number, since it is smaller than the sum of its proper divisors (7347268504485).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5345010105435 is a wasteful number, since it uses less digits than its factorization.

5345010105435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136679 (or 136665 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 5345010105435 in words is "five trillion, three hundred forty-five billion, ten million, one hundred five thousand, four hundred thirty-five".